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Finding the Fourth Proportional to 25,427.88, 35,089.50 and 13,942.74

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Solution

The fourth proportional to 25,427.88, 35,089.50 and 13,942.74 is: 19,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.88 : 35,089.50 = 13,942.74 : x
  2. Step 2: Convert to fraction form
    25,427.88/35,089.50 = 13,942.74/x
  3. Step 3: Cross multiply
    25,427.88x = 35,089.50 × 13,942.74
  4. Step 4: Simplify right side
    25,427.88x = 489,243,775.23
  5. Step 5: Solve for x
    x = 489,243,775.23/25,427.88
  6. Step 6: Final answer
    x = 19,240.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.